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132220341 = 32119771367
BaseRepresentation
bin1111110000110…
…00010110110101
3100012210111012200
413320120112311
5232322022331
621041535113
73163566021
oct770302665
9305714180
10132220341
11686a9110
1238344499
13215152b6
14137bb381
15b91b5e6
hex7e185b5

132220341 has 24 divisors (see below), whose sum is σ = 208713024. Its totient is φ = 79992960.

The previous prime is 132220337. The next prime is 132220343. The reversal of 132220341 is 143022231.

132220341 is a `hidden beast` number, since 1 + 322 + 2 + 0 + 341 = 666.

It is not a de Polignac number, because 132220341 - 22 = 132220337 is a prime.

It is a super-3 number, since 3×1322203413 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132220343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96040 + ... + 97406.

It is an arithmetic number, because the mean of its divisors is an integer number (8696376).

Almost surely, 2132220341 is an apocalyptic number.

132220341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132220341 is a deficient number, since it is larger than the sum of its proper divisors (76492683).

132220341 is a wasteful number, since it uses less digits than its factorization.

132220341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132220341 is about 11498.7104059542. The cubic root of 132220341 is about 509.4474869981.

Adding to 132220341 its reverse (143022231), we get a palindrome (275242572).

The spelling of 132220341 in words is "one hundred thirty-two million, two hundred twenty thousand, three hundred forty-one".

Divisors: 1 3 9 11 33 99 977 1367 2931 4101 8793 10747 12303 15037 32241 45111 96723 135333 1335559 4006677 12020031 14691149 44073447 132220341